Second, from the music side of things, there was a really strong bias against any form of popular music and towards heavily experimental music. The word snob comes to mind.
Third, the place just had a weird and uneasy energy - not welcoming and just strange. Another friend of mine who was there at the same time commented on this to me also, and also stopped the CCMRA programme.
YMMV - this was in the 1990s
To answer your specific question though, I had a BA and MS from a so-so state school, average (B-) grades at undergrad and very good grades in grad school (3.9/4.0 ish) and 700+ on each of the GRE sections (just the general one, I didn't sit the specialized ones). I had one publication in a peer-reviewed journal as well.
Have you heard anything about similar programs at Berkley or UCSC?